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13320003330 = 2325374197561
BaseRepresentation
bin11000110011110111…
…10001111100000010
31021101021221021111200
430121323301330002
5204234410101310
610041421522030
7651040105644
oct143173617402
937337837450
1013320003330
115715881717
1226b8a13316
13134378459a
14905068894
1552e5b29c0
hex319ef1f02

13320003330 has 96 divisors (see below), whose sum is σ = 36435894768. Its totient is φ = 3371673600.

The previous prime is 13320003313. The next prime is 13320003343. The reversal of 13320003330 is 3330002331.

13320003330 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 0 + 3 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1818084321 + 11501919009 = 42639^2 + 107247^2 .

It is a super-2 number, since 2×133200033302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87750 + ... + 185310.

Almost surely, 213320003330 is an apocalyptic number.

13320003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217947384).

13320003330 is an abundant number, since it is smaller than the sum of its proper divisors (23115891438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13320003330 is a wasteful number, since it uses less digits than its factorization.

13320003330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97652 (or 97649 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13320003330 its reverse (3330002331), we get a palindrome (16650005661).

Subtracting from 13320003330 its reverse (3330002331), we obtain a palindrome (9990000999).

It can be divided in two parts, 1332000 and 3330, that multiplied together give a square (4435560000 = 666002).

The spelling of 13320003330 in words is "thirteen billion, three hundred twenty million, three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 41 45 74 82 90 111 123 185 205 222 246 333 369 370 410 555 615 666 738 1110 1230 1517 1665 1845 3034 3330 3690 4551 7585 9102 13653 15170 22755 27306 45510 68265 97561 136530 195122 292683 487805 585366 878049 975610 1463415 1756098 2926830 3609757 4000001 4390245 7219514 8000002 8780490 10829271 12000003 18048785 20000005 21658542 24000006 32487813 36000009 36097570 40000010 54146355 60000015 64975626 72000018 108292710 120000030 148000037 162439065 180000045 296000074 324878130 360000090 444000111 740000185 888000222 1332000333 1480000370 2220000555 2664000666 4440001110 6660001665 13320003330